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2. THE SEARCH FOR SUPERMASSIVE BLACK HOLES

Kormendy & Richstone (1995) review BH search techniques and summarize the ground-based detections. Recent reviews (e.g., Richstone et nuk. 1998) concentrate on BH astrophysics. There has not been a comprehensive review of BH discoveries made with the Hubble Space Telescope (HST), so we provide a summary here.

There are ground-based BH detections in 10 galaxies, including the nearest (our Galaxy, M31, and M32) and the best (our Galaxy and NGC 4258) candidates. References are given in Kormendy & Richstone (1995) and Table 1. Of the 7 stellar-dynamical cases, 6 have been reobserved with HST. In all cases, the BH detection was confirmed and the ground-based BH mass agrees with the HST result to within a factor of ~ 2. The HST papers are: M31: Statler et al. (1999), Bacon et al. (2001); M32: van der Marel et al. (1998); NGC 3115: Kormendy et nuk. (1996a), Emsellem et al. (1999); NGC 3377: Richstone et nuk. (2001), NGC 4486B (Green et al. 2001), and NGC 4594: Kormendy et nuk. (1996b).

Our Galaxy is the strongest BH case, based on observations of velocities in the plane of the sky of stars in a cluster within 0."5 = 0.02 pc of the central radio source Sgr A* (Eckart & Genzel 1997; Genzel et al. 1997, 2000; Ghez et al. 1998, 2000). The fastest star is moving at 1350 ± 40 km s-1. Acceleration vectors have been measured for three stars; they intersect, to within the still-large errors, at Sgr A*, supporting the identification of the radio source with the inferred central mass of Mbullet = (2.6 ± 0.2) × 106 Modot (Ghez et al. 2000). The stellar orbital periods could be as short as several decades, so we can look forward to seeing the Galactic center rotate in our lifetimes! Most important, the mass Mbullet is constrained to live inside such a small radius that alternatives to a supermassive black hole are ruled out by astrophysical constraints. Brown dwarf stars would collide, merge, and become luminous, and clusters of white dwarf stars, neutron stars, or stellar-mass black holes would evaporate too quickly (Maoz 1995, 1998; Genzel et al. 1997, 2000).

The next-best BH case is NGC 4258. In it, a water maser disk shows remarkably Keplerian rotation velocities inward to a radius of 0.2 pc (Miyoshi et al. 1995). The implied central mass, Mbullet = 4 × 107 Modot, again is confined to a small enough volume to exclude the above BH alternatives (Maoz 1998). Such arguments cannot yet be made for any other galaxy. Nevertheless, they increase our confidence that all of the dynamically detected central dark objects are BHs.

The BH search has now largely moved to HST. With the aberrated HST, BH work was based on indirect arguments that have serious problems (Kormendy & Richstone 1995). But with COSTAR, HST has become the telescope of choice for BH searches, and the pace of detections has accelerated remarkably.

The HST era is divided into two periods. Before the installation of the Space Telescope Imaging Spectrograph (STIS) in 1997, the main instrument used was the Faint Object Spectrograph (FOS). It was inefficient, because it used an aperture instead of a slit. Nevertheless, the first HST BH detections were made with the FOS (M87: Harms et al. 1994; NGC 4261: Ferrarese et al. 1996; NGC 7052: van der Marel & van den Bosch 1998). It is often suggested that HST was required to make BH cases convincing. This is an exaggeration. HST beats ground-based resolution by a factor of 5, but the first BH detections made with HST were in Virgo cluster galaxies or in ones that are 2 - 4 times farther away. Virgo is ~ 20 times farther away than M31 and M32. Therefore the ground-based BH discoveries in M31 and M32 had better spatial resolution (in pc) than the HST BH discoveries in the above galaxies. Of course, the distant BHs have higher masses. Therefore a better measure of relative resolution is the ratio of the radius rcusp = G Mbullet / sigma2 of the BH sphere of influence to the resolution. Table 1 lists rcusp for all BH detections. Since the PSF in the ground-based discovery observations had a radius of ~ 0."3 - 0."5 while the FOS observations used a 0."09 square aperture (NGC 4261), Table 1 shows that the FOS BH detections in M87, NGC 4261, and NGC 7052 had comparable or lower relative resolution than the ground-based observations of M31, M32, NGC 3115, and NGC 4594. As HST spatial resolution improved (especially with STIS), BH cases have indeed gotten stronger. But the main thing that HST has provided is many more detections.

STIS has begun a new period in the BH search. With the efficiency of a long-slit spectrograph and CCD detector, the search has become feasible for most nearby galaxies that have unobscured centers and old stellar populations. It is still not easy; finding a 106-Modot BH is difficult at the distance of the Virgo cluster and impossible much beyond. But the pace of discoveries has accelerated dramatically. At the 2000 Summer AAS meeting, 14 new BH detections were reported, and several more have been published since. As a result, about 37 BH candidates are now available. We say "about" because not all cases are equally strong: which ones to include is a matter of judgment. Table 1 provides a census.

Table 1. Census of Supermassive Black Holes (2001 March)

Galaxy Type MB,bulge Mbullet (Mlow,Mhigh) sigmae D rcusp Reference
(Modot) (km/s) (Mpc) (arcsec)

Galaxy Sbc -17.65 2.6 (2.4-2.8) e6 75 0.008 51.40 See notes
M 31 Sb -19.00 4.5 (2.0-8.5) e7 160 0.76 2.06 Dressler + 1988;
              Kormendy 1988a
M 32 E2 -15.83 3.9 (3.1-4.7) e6 75 0.81 0.76 Tonry 1984, 1987
M 81 Sb -18.16 6.8 (5.5-7.5) e7 143 3.9 0.76 Bower + 2001b
NGC 821 E4 -20.41 3.9 (2.4-5.6) e7 209 24.1 0.03 Gebhardt + 2001
NGC 1023 S0 -18.40 4.4 (3.8-5.0) e7 205 11.4 0.08 Bower + 2001a
NGC 2778 E2 -18.59 1.3 (0.5-2.9) e7 175 22.9 0.02 Gebhardt + 2001
NGC 3115 S0 -20.21 1.0 (0.4-2.0) e9 230 9.7 1.73 Kormendy + 1992
NGC 3377 E5 -19.05 1.1 (0.6-2.5) e8 145 11.2 0.42 Kormendy + 1998
NGC 3379 E1 -19.94 1.0 (0.5-1.6) e8 206 10.6 0.20 Gebhardt + 2000a
NGC 3384 S0 -18.99 1.4 (1.0-1.9) e7 143 11.6 0.05 Gebhardt + 2001
NGC 3608 E2 -19.86 1.1 (0.8-2.5) e8 182 23.0 0.13 Gebhardt + 2001
NGC 4291 E2 -19.63 1.9 (0.8-3.2) e8 242 26.2 0.11 Gebhardt + 2001
NGC 4342 S0 -17.04 3.0 (2.0-4.7) e8 225 15.3 0.34 Cretton + 1999a
NGC 4473 E5 -19.89 0.8 (0.4-1.8) e8 190 15.7 0.13 Gebhardt + 2001
NGC 4486B E1 -16.77 5.0 (0.2-9.9) e8 185 16.1 0.81 Kormendy + 1997
NGC 4564 E3 -18.92 5.7 (4.0-7.0) e7 162 15.0 0.13 Gebhardt + 2001
NGC 4594 Sa -21.35 1.0 (0.3-2.0) e9 240 9.8 1.58 Kormendy + 1988b
NGC 4649 E1 -21.30 2.0 (1.0-2.5) e9 375 16.8 0.75 Gebhardt + 2001
NGC 4697 E4 -20.24 1.7 (1.4-1.9) e8 177 11.7 0.41 Gebhardt + 2001
NGC 4742 E4 -18.94 1.4 (0.9-1.8) e7 90 15.5 0.10 Kaiser + 2001
NGC 5845 E -18.72 2.9 (0.2-4.6) e8 234 25.9 0.18 Gebhardt + 2001
NGC 7457 S0 -17.69 3.6 (2.5-4.5) e6 67 13.2 0.05 Gebhardt + 2001

NGC 2787 SB0 -17.28 4.1 (3.6-4.5) e7 185 7.5 0.14 Sarzi + 2001
NGC 3245 S0 -19.65 2.1 (1.6-2.6) e8 205 20.9 0.21 Barth + 2001
NGC 4261 E2 -21.09 5.2 (4.1-6.2) e8 315 31.6 0.15 Ferrarese + 1996
NGC 4374 E1 -21.36 4.3 (2.6-7.5) e8 296 18.4 0.24 Bower + 1998
NGC 4459 SA0 -19.15 7.0 (5.7-8.3) e7 167 16.1 0.14 Sarzi + 2001
M 87 E0 -21.53 3.0 (2.0-4.0) e9 375 16.1 1.18 Harms + 1994
NGC 4596 SB0 -19.48 0.8 (0.5-1.2) e8 136 16.8 0.22 Sarzi + 2001
NGC 5128 S0 -20.80 2.4 (0.7-6.0) e8 150 4.2 2.26 Marconi + 2001
NGC 6251 E2 -21.81 6.0 (2.0-8.0) e8 290 106 0.06 Ferrarese + 1999
NGC 7052 E4 -21.31 3.3 (2.0-5.6) e8 266 58.7 0.07 van der Marel + 1998
IC 1459 E3 -21.39 2.0 (1.2-5.7) e8 323 29.2 0.06 Verdoes Kleijn + 2001

NGC 1068 Sb -18.82 1.7 (1.0-3.0) e7 151 15 0.04 Greenhill + 1996
NGC 4258 Sbc -17.19 4.0 (3.9-4.1) e7 120 7.2 0.36 Miyoshi + 1995
NGC 4945 Scd -15.14 1.4 (0.9-2.1) e6   3.7   Greenhill + 1997

Notes - BH detections are based on stellar dynamics (top group), ionized gas dynamics (middle) and maser dynamics (bottom). Column 3 is the B-band absolute magnitude of the bulge part of the galaxy. Column 4 is the BH mass Mbullet with error bars (Mlow , Mhigh). Column 5 is the galaxy's velocity dispersion (see Figure 2). Column 6 is the distance (Tonry et al. 2001). Column 7 is the radius of the sphere of in of the BH. References are the BH discovery papers (+ means et al.; for reviews of our Galaxy, see Kormendy & Richstone 1995; Yusef-Zadeh + 2000). BH masses are from the above papers except for our Galaxy (Genzel + 1997; Ghez + 1998), M 31 (Kormendy + 1999; Bacon + 2001), M 32 (van der Marel + 1998), NGC 3115 (Kormendy + 1996a; Emsellem + 1999), NGC 3377 (Gebhardt + 2001), NGC 4374 (Maciejewski + 2001); M 87 (Harms + 1994; Macchetto + 1997), and NGC 4486B (Green + 2001).

An important HST contribution has been to enable BH searches based on ionized gas dynamics (middle part of Table 1). The attraction of gas is simplicity - unlike the case of stellar dynamics, velocity dispersions are likely to be isotropic and projection effects are small unless the disks are seen edge-on. Especially important is the fact that gas disks are easy to observe even in giant ellipticals with cuspy cores. These galaxies are a problem for stellar-dynamical studies: they are expensive to observe because their surface brightnesses are low, and they are difficult to interpret because they rotate so little that velocity anisotropy is very important. It is no accident that most BH detections in the highest-luminosity ellipticals are based on gas dynamics. Without these, we would know much less about the biggest BHs.

At the same time, the uncertainties in gas dynamics are often underestimated. Most studies assume that disks are cold and in circular rotation. But the gas masses are small, and gas is easily pushed around. It would be no surprise to see velocities that are either slower or faster than circular. Faster-than-circular motions can be driven by AGN or starburst processes, while motions that are demonstrably slower than circular are observed in many bulges (see Kormendy & Westpfahl 1989). A separate issue is the large emission-line widths seen in many galaxies. If these are due to pressure support, then the observed rotation velocity is less than the circular velocity and Mbullet is underestimated if the line width is ignored. The situation is like that in any stellar system that has a significant velocity dispersion, and the cure is similar. In the context of a not-very-hot disk like that in our Galaxy, the correction from observed to circular velocity is called the "asymmetric drift correction", and in the context of hotter stellar systems like ellipticals, it is handled by three-integral dynamical models. For gas dynamics, the state of the art is defined by Barth et al. (2001), who discuss the line broadening problem in detail. They point out that asymmetric drift corrections may be large or they may be inappropriate if the line width is due to the internal microturbulence of gas clouds that are in individual, nearly circular orbits. We do not understand the physics of line broadening, so it adds uncertainty to BH masses. But it is likely that Mbullet will be underestimated if the line width is ignored. In contrast, Maciejewski & Binney (2001) emphasize that Mbullet can be overestimated by as much as a factor of three if we neglect the smearing effects of finite slit sizes. The best gas-dynamic Mbullet estimates (e.g., Sarzi et al. 2001; Barth et al. 2001) are thought to be accurate to ~ 30%. In future, it will be important to take all of the above effects into account. It is not clear a priori whether they are devastating or small. The best sign that they are manageable is the observation that stellar- and gas-dynamical analyses imply the same Mbullet correlations (compare the squares and circles in Figure 2).

Gas-dynamical BH searches are limited mainly by the fact that suitable gas disks are rare. Sarzi et al. (2001) found gas disks with well-ordered, nearly circular velocities in only about 15% of their sample of galaxies that were already known to have central gas. So ltapprox 10% of a complete sample of bulges is likely to have gas disks that are usable for BH searches. Nevertheless, within the next year, we should have gas-kinematic observations of 30-40 galaxies from a variety of groups. They will provide a wealth of information both on nuclear gas disks and on BHs.

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